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26534243664 = 24322331258437
BaseRepresentation
bin11000101101100100…
…000110110101010000
32112111012212020110100
4120231210012311100
5413320231244124
620104544532400
71626354230655
oct305544066520
975435766410
1026534243664
1110286985aa5
125186321100
13266b3581c6
1413da041c2c
15a547331c9
hex62d906d50

26534243664 has 120 divisors (see below), whose sum is σ = 79987594752. Its totient is φ = 8187252480.

The previous prime is 26534243653. The next prime is 26534243669. The reversal of 26534243664 is 46634243562.

26534243664 is a `hidden beast` number, since 2 + 6 + 534 + 24 + 36 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26534243669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26547 + ... + 231890.

Almost surely, 226534243664 is an apocalyptic number.

26534243664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26534243664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39993797376).

26534243664 is an abundant number, since it is smaller than the sum of its proper divisors (53453351088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26534243664 is a wasteful number, since it uses less digits than its factorization.

26534243664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258505 (or 258496 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 26534243664 in words is "twenty-six billion, five hundred thirty-four million, two hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 31 36 46 48 62 69 72 92 93 124 138 144 184 186 207 248 276 279 368 372 414 496 552 558 713 744 828 1104 1116 1426 1488 1656 2139 2232 2852 3312 4278 4464 5704 6417 8556 11408 12834 17112 25668 34224 51336 102672 258437 516874 775311 1033748 1550622 2067496 2325933 3101244 4134992 4651866 5944051 6202488 8011547 9303732 11888102 12404976 16023094 17832153 18607464 23776204 24034641 32046188 35664306 37214928 47552408 48069282 53496459 64092376 71328612 72103923 95104816 96138564 106992918 128184752 142657224 144207846 184265581 192277128 213985836 285314448 288415692 368531162 384554256 427971672 552796743 576831384 737062324 855943344 1105593486 1153662768 1474124648 1658390229 2211186972 2948249296 3316780458 4422373944 6633560916 8844747888 13267121832 26534243664